It is shown that there are examples of distinct polyhedra, each with a Hamiltonian path of edges, which when cut, unfolds the surfaces to a common net. In particular, it is established for infinite classes of triples of tetrahedra.
It is a common conjecture that all convex polyhedra must be edge-unfoldable but to date a valid proo...
If one has three sticks (lengths), when can you make a triangle with the sticks? As long as any two...
Showing whether the longest-edge (LE) bisection of tetrahedra meshes degenerates the stability condi...
It is shown that there are examples of distinct polyhedra, each with a Hamiltonian path of edges, wh...
We study Hamiltonian unfolding—cutting a convex polyhedron along a Hamiltonian path of edges to unfo...
We explore which polyhedra and polyhedral complexes can be formed by folding up a planar polygonal r...
We explore which polyhedra and polyhedral complexes can be formed by folding up a planar polygonal ...
An unfolding of a polyhedron is a cutting along its surface such that the surface remains connected ...
Knowledge about Geometric Models, Geometric Transformations and PolyhedraA polyhedron can be unfolde...
We prove that an infinite class of convex polyhedra, produced by restricted vertex truncations, alwa...
We prove that an infinite class of convex polyhedra, produced by restricted vertex truncations, alwa...
We study Hamiltonian unfolding—cutting a convex polyhedron along a Hamiltonian path of edges to unfo...
The notion of a spiral unfolding of a convex polyhedron, a special type of Hamiltonian cut-path, is ...
Common unfolding of a regular tetrahedron and a Johnson-Zalgaller solid is investigated. More precis...
We show that four of the five Platonic solids ’ surfaces may be cut open with a Hamiltonian path alo...
It is a common conjecture that all convex polyhedra must be edge-unfoldable but to date a valid proo...
If one has three sticks (lengths), when can you make a triangle with the sticks? As long as any two...
Showing whether the longest-edge (LE) bisection of tetrahedra meshes degenerates the stability condi...
It is shown that there are examples of distinct polyhedra, each with a Hamiltonian path of edges, wh...
We study Hamiltonian unfolding—cutting a convex polyhedron along a Hamiltonian path of edges to unfo...
We explore which polyhedra and polyhedral complexes can be formed by folding up a planar polygonal r...
We explore which polyhedra and polyhedral complexes can be formed by folding up a planar polygonal ...
An unfolding of a polyhedron is a cutting along its surface such that the surface remains connected ...
Knowledge about Geometric Models, Geometric Transformations and PolyhedraA polyhedron can be unfolde...
We prove that an infinite class of convex polyhedra, produced by restricted vertex truncations, alwa...
We prove that an infinite class of convex polyhedra, produced by restricted vertex truncations, alwa...
We study Hamiltonian unfolding—cutting a convex polyhedron along a Hamiltonian path of edges to unfo...
The notion of a spiral unfolding of a convex polyhedron, a special type of Hamiltonian cut-path, is ...
Common unfolding of a regular tetrahedron and a Johnson-Zalgaller solid is investigated. More precis...
We show that four of the five Platonic solids ’ surfaces may be cut open with a Hamiltonian path alo...
It is a common conjecture that all convex polyhedra must be edge-unfoldable but to date a valid proo...
If one has three sticks (lengths), when can you make a triangle with the sticks? As long as any two...
Showing whether the longest-edge (LE) bisection of tetrahedra meshes degenerates the stability condi...